BV functions and fractional Laplacians on Dirichlet spaces Academic Article

abstract

• We study $L^p$ Besov critical exponents and isoperimetric and Sobolev inequalities associated with fractional Laplacians on metric measure spaces. The main tool is the theory of heat semigroup based Besov classes in Dirichlet spaces that was introduced by the authors in previous works.

authors

• Alonso Ruiz, Patricia

altmetric score

• 0.5

author list (cited authors)

• Ruiz, P. A., Baudoin, F., Chen, L. i., Rogers, L., Shanmugalingam, N., & Teplyaev, A.

citation count

• 0

complete list of authors

• Ruiz, Patricia Alonso||Baudoin, Fabrice||Chen, Li||Rogers, Luke||Shanmugalingam, Nageswari||Teplyaev, Alexander

publication date

• October 2019

keywords

• 31c25, 46e35, 26a45, 60j45, 28a80
• Math-ph
• Math.fa
• Math.mg
• Math.mp
• Math.pr

Digital Object Identifier (DOI)

• 10.48550/arxiv.1910.13330